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Finding the Fourth Proportional to 223,743.42, 335,738.16 and 105,411.69

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Solution

The fourth proportional to 223,743.42, 335,738.16 and 105,411.69 is: 158,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,743.42 : 335,738.16 = 105,411.69 : x
  2. Step 2: Convert to fraction form
    223,743.42/335,738.16 = 105,411.69/x
  3. Step 3: Cross multiply
    223,743.42x = 335,738.16 × 105,411.69
  4. Step 4: Simplify right side
    223,743.42x = 35,390,726,843.09
  5. Step 5: Solve for x
    x = 35,390,726,843.09/223,743.42
  6. Step 6: Final answer
    x = 158,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.